Instructional Video3:06
Brian McLogan

Dividing polynomials using synthetic division

12th - Higher Ed
πŸ‘‰ Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Instructional Video2:46
Brian McLogan

How to write informally the end behavior of the leading coefficient test

12th - Higher Ed
πŸ‘‰ Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Instructional Video4:04
Brian McLogan

Learning how to find all the possible rational zeros of a polynomial using the rational zero test

12th - Higher Ed
πŸ‘‰ Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Instructional Video2:30
Brian McLogan

How to use factor theorem to determine if a binomial is factor of polynomial

12th - Higher Ed
πŸ‘‰ Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Instructional Video6:28
Brian McLogan

Given two real zeros & one complex, write the equation of the polynomial

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a polynomial when given imaginary zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Instructional Video2:20
Brian McLogan

How to factor a polynomial using the difference of two cubes

12th - Higher Ed
πŸ‘‰ Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an...
Instructional Video2:34
Brian McLogan

Given three real zeros write the equation of the polynomial

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Instructional Video3:44
Brian McLogan

Finding the Vertical and Horizontal Asymptotes of a Functions

12th - Higher Ed
πŸ‘‰ Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Instructional Video3:02
Brian McLogan

Find end behavior of a factored polynomial using limits

12th - Higher Ed
πŸ‘‰ Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Instructional Video2:00
Brian McLogan

How To Find the Real Zeros of a Polynomial Function

12th - Higher Ed
πŸ‘‰ Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Instructional Video7:17
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Types and Zeroes of Polynomials

9th - Higher Ed
This video explains the concept of polynomials, their classification, and how to find their zeros. It also discusses the relationship between the zeros and coefficients of a polynomial. The video is useful for anyone studying mathematics...
Instructional Video1:43
Brian McLogan

Writing the equation of a line from given graph

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Instructional Video2:23
Brian McLogan

Write the equation of a line from given graph

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Instructional Video2:00
Brian McLogan

Write the equation of a line from a given graph

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Instructional Video3:03
Brian McLogan

Given two points find the equation of the line using point slope

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Instructional Video2:38
Brian McLogan

Learn How to Use a Box to Multiply Two Binomials by Each Other

12th - Higher Ed
πŸ‘‰ Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Instructional Video2:24
Brian McLogan

How to simplify the subtraction of two polynomials

12th - Higher Ed
πŸ‘‰ Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Instructional Video1:42
Brian McLogan

How to subtract two large polynomials by rewriting as an addition problem

12th - Higher Ed
πŸ‘‰ Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Instructional Video4:08
Brian McLogan

How to find the multiplicity zeros, intercepts with fractions

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Instructional Video2:55
Brian McLogan

Determine the roots of the quadratic function with fraction coefficients

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Instructional Video1:31
Brian McLogan

Determine LC and degree by multiplying binomials

12th - Higher Ed
πŸ‘‰ Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Instructional Video3:35
Brian McLogan

How to use the remainder and factor theorem for polynomials

12th - Higher Ed
πŸ‘‰ Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Instructional Video5:51
Brian McLogan

How to use long division to divide two polynomials

12th - Higher Ed
πŸ‘‰ Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Instructional Video3:47
Brian McLogan

Learning how to complete synthetic division

12th - Higher Ed
πŸ‘‰ Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...